ilizheng

李政 (LI, Zheng)

Contacts

• Email: ilizheng@msn.com
• Address: School of Aeronautics & Astronautics, Shanghai Jiao Tong University, 800 Dongchuan RD. Minhang District, Shanghai 200240, China

Research interests

• Machine Learning: Algorithms and Analysis of Neural Networks for Solving Partial Differential Equations
• Finite Element Method: A Priori Error Estimates, A Posteriori Error Estimates and Adaptivity
• PDE-constrained Optimization: Numerical Analysis and Optimization Algorithms
• Phase-field Model and Fractional Differential Equations: Numerical Methods, Inverse Problems and Applications

Education

• 2011.9-2018.6: Ph.D., Computational Mathematics, School of Mathematical Sciences, East China Normal University
• 2016.11-2017.1: Visiting Scholar, Department of Mathematics & Interdisciplinary Mathematics Institute, University of South Carolina
• 2007.9-2011.6: B.S., Information and Computing Sciences, School of Mathematics, Shandong University

Positions & Activities

• 2023-now: Postdoctoral Scholar/Assistant Researcher, School of Aeronautics and Astronautics, Shanghai Jiao Tong University
• 2018-2022: Instructor, College of Arts and Sciences, Shanghai Maritime University

Publications

Preprints

• arXiv xxxx.xxxxx
• arXiv xxxx.xxxxx
• arXiv:2402.05067

Journal Papers

1. A new coupled subdiffusion model and its partitioned time-stepping algorithm, Journal of Computational Mathematics, Online, DOI, 2025-05-09.
2. A parallel domain decomposition method for the fully-mixed Stokes-dual-permeability fluid flow model with Beavers-Joseph interface conditions, Communications in Computational Physics, 36:2 (2024), 551–580. DOI
3. Matrices Whose Powers Are Eventually Triangular, Filomat, 37:26 (2023), 8867–8885. DOI
4. A space-time fractional phase-field model with tunable sharpness and decay behavior and its efficient numerical simulation, Journal of Computational Physics, 347 (2017), 20–38. DOI
5. A variable-order fractional differential equation model of shape memory polymers, Chaos, Solitons & Fractals, 102 (2017): 473–485. DOI

Grants

1. NSFC, Participant
2. NSFC, Participant
3. NSFC, Participant
4. NSFC No. xxxxxxxx, A011701, 201601-201912, Participant
5. NSFC No. xxxxxxxx, A011701, 201301-201512, Participant

Teaching

Specialized Courses

• Numerical Methods for Differential Equations
• Numerical Analysis
• Numerical Optimization

Common Courses

• Probability and Statistics
• Linear Algebra
• Advanced Mathematics
• Mathematical Modeling and Mathematical Experiments